The Indefinite Integral and Differential Equations (Chapter 6)

Just as we sometimes want to know the slope of a curve at a certain point (call it the definite slope), we also want to know the slope of a curve just anywhere - the slope formula (call it the indefinite slope). Well, the same goes for the integral.  Chapter 5 was on the Definite Integral and Chapter 6 is on the Indefinite Integral.  We will learn how to find it algebraically, graphically and numerically (of course). The algebraic portion will take some time and you will be subjected to almost daily quizzes to make sure you are getting it.

Note:  We will not be able to finish this chapter before Christmas break.

12/01  Parent Conferences
12/02  Ch 5 Test
12/04  Intro to Differential Equations (initial value problems)
          HW p.327-330/1-23 odd, 65-70 and download slope field calculator

12/05  Slope Fields (graphical diff. eq) & Euler's Method (numerical diff. eq)

          HW finish handout and p.328-329/41-49 odd, 51-58

12/08  Substitution method undoes chain rule differentiation
          HW p.337-339/1 - 39 odd, 69, 77 (the last one will be turned in - be neat)

12/09  Integration  Quiz 1;  Changing limits of integration
          HW p.338-340/41, 43, 45, 53-67 odd, 68, 79

12/11  Int  Quiz 2;  Integration by Parts undoes the product rule
          HW p.346-347/1-16, 33, 36, 39, 41

12/12  More (Harder) Integration by parts
          HW p.347-348/17-31 odd, 34, 35, 43, 47-56

12/15  Int Quiz 3;  Higher Powers of Trig Functions (additional notes) and Trig Substitution (additional notes)

          HW p.338, 340/47-52, 81-84 and packet problems 1-3,7,13,17,22,27,34,35,38,39

12/16  Differential Equations by Separation of Variables
          HW from Hughes-Hallett handout/3-42 by 3's, 28, 43-47

12/18  Int Quiz 4;  Exponential Growth and Decay

          HW p.357-361/3-11 odd, 21, 23, 25, 29, 31, 39, 41, 43, 44, 53, 54, 58

          Longterm HW Mixed Integrals Worksheet (finish by January 14th)
12/19  Partial Fraction Decomposition
          HW handout problems 7-31 odd, 41, 43, 45, 47-50 (see textbook p.369-371/1-14, 47, 48 for more practice)

12/22 Logistic Functions

          HW p.369-371/15-35 odd, 36, 37, 44-46

12/23  Calculus Jeopardy

12/24-1/4  Christmas vacation

01/05  Recap
          HW finish handout

01/06  Int Quiz 5;  Laplace Transforms (Day 1 - Intro)

          HW finish proofs in handout

01/08  Laplace Transforms (Day 2 - Technical Skills) [Half Day B A G F]

          HW finish problems in handout (copy of my answer key)

01/09  Int Quiz 6;  Laplace Transforms (Day 3 - Applications)

          HW finish application problems in handout

01/12  Wrap-up of integration techniques and solving differential equations

01/13  Ch 6 Test

01/16  End of Term 2